In this production method, in a blue fluorescent light-emitting layer formation step, a blue fluorescence light-emitting layer is formed in both a sub-pixel (3B) and a sub-pixel (3G1), in a green fluorescent light-emitting layer formation step, a green fluorescent light-emitting layer is formed in both the sub-pixel (3G1) and a sub-pixel (3G2), and in a red light-emitting layer formation step, a red light-emitting layer is formed in both the sub-pixel (3G1) and a sub-pixel (3R). In at least two of the abovementioned steps, linear vapor deposition is performed using a slit mask having an opening provided so as to extend across a plurality of pixels.